Data di Pubblicazione:
2006
Citazione:
Ample vector bundles with small $g-q$ / D. Fusi, A. Lanteri. - In: COMMUNICATIONS IN ALGEBRA. - ISSN 0092-7872. - 34:8(2006), pp. 2989-3008. [10.1080/00927870600639799]
Abstract:
Let X be a smooth complex projective variety and let Z be a smooth submanifold of X of dimension ge 2, which is the zero locus of a section of an ample vector bundle E of rank dim X - dim Z ge 2. Let H be an ample line bundle on X, whose restriction H_Z to Z is generated by global sections. The structure of triplets (X,E,H) as above is described under the assumption that the curve genus of the corank-1 vector bundle E oplus H^{oplus (dim Z -1)} is le q+2, where q is the irregularity of X.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Adjunction theory; Ample vector bundles; Curve genus; Fano manifolds; Polarized varieties; Special varieties
Elenco autori:
D. Fusi, A. Lanteri
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